PDE

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Contents

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Description

This block is an implementation of several numerical schemes (Finite Elements (1st and 2nd order),
Finite Differences (1st and 2nd order), Finite Volumes (1st order)) to solve mono dimensional
PDE (Partial Differential Equation) within SCICOS.
The mathematical framwork was restricts in PDEs linear scalars with maximum order 2 in time and space.
The goal is to provide engineers and physicists with an easy to use toolbox in SCICOS that will let them
graphically describe the PDE to be solved. A decision system selects the most efficient numerical scheme
depending on the type of the PDE and runs the solvers.

Dialog box

a et b

(double) The two edges of the discretization field.

specification de l'EDP

check box to select the PDE operators.
ai(x), bi(t) (i=1:7) are the operator coefficients.
type of PDE discriminant (constant or variable, in the
later case, the sign should be given)

Discretization methode

choix (check box) : is the choice for the manual or the automatic mode.
type : in the manual mode we can give the method type
(Finite differences, finite elements or finite volumes).
degré : method degre (1 or 2 for the FD and FE methods,
1 for the FV method).
Nombre de noeuds : to give the number of the nodal points.

Conditions initiales

u(x,t0)=, du/dt at t0= : to give the initial conditions.

Conditions aux limites

type : two type of the boundray conditions are possible : Dirichlet or Neumann.
expressions : to give then boundray conditions expressions.